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Finding the Fourth Proportional to 2,283, 3,151.62 and 2,200.92

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Solution

The fourth proportional to 2,283, 3,151.62 and 2,200.92 is: 3,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283 : 3,151.62 = 2,200.92 : x
  2. Step 2: Convert to fraction form
    2,283/3,151.62 = 2,200.92/x
  3. Step 3: Cross multiply
    2,283x = 3,151.62 × 2,200.92
  4. Step 4: Simplify right side
    2,283x = 6,936,463.49
  5. Step 5: Solve for x
    x = 6,936,463.49/2,283
  6. Step 6: Final answer
    x = 3,038.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.